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Finding the Third Proportional to 338,762 and 495,419

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Solution

The third proportional to 338,762 and 495,419 is: 724,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,762 : 495,419 = 495,419 : x
  2. Step 2: Convert to fraction form
    338,762/495,419 = 495,419/x
  3. Step 3: Cross multiply
    338,762x = 495,419 × 495,419
  4. Step 4: Simplify right side
    338,762x = 245,439,985,561
  5. Step 5: Solve for x
    x = 245,439,985,561/338,762
  6. Step 6: Final answer
    x = 724,520.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.